Graphing linear equations Word problems Video transcript Let's do a couple of problems graphing linear equations. They are a bunch of ways to graph linear equations.

To plot simple non-linear relationships on the Cartesian Plane Know: What a linear equation is. What a non-linear equation is.

How to use co-ordinates to plot points on the Cartesian plane. That non-linear equations can be used as graphical representations to show a linear relationship on the Cartesian Plane. I can plot non-linear relationships on the Cartesian plane. Linear Relationships Linear relationships show a steady increase or decrease between two variables.

In this case, distance and time have a linear relationship as the distance is 25 times the value of the time. As 1 variable goes up the other variable increases in a similar manner.

Non-Linear Relationships Non-linear relationships do not show a steady increase or decrease between two variables.

It usually shows a curved relationship or even circular. Once you have values for X and Y, you can use those values as co-ordinates and plot that on the Cartesian Plane. Then you use your knowledge of linear equations to solve for X and Y values, once you have a table, you can then use those values as co-ordinates and plot that on the Cartesian Plane.

Just remember, when you square a negative number, the resulting answer is always positive!Linear Equations. If a set of data is linearly related, you can show that relationship using a linear equation.

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A linear equation has the form: y = mx + b Where: “m” is the slope of the line, “x” is any point (an input or x-value) on the line, and “b” is where the line crosses the y-axis.

A linear equation in two variables describes a relationship in which the value of one of the variables depends on the value of the other variable.

In a linear equation in x and y, x is called x is the independent variable and y depends on it. Linear relationships show a steady increase or decrease between two variables.

In this case, distance and time have a linear relationship as the distance is 25 times the value of the time. As 1 variable goes up the other variable increases in a similar manner. Linear equations like y = 2x + 7 are called "linear" because they make a straight line when we graph them.

These tutorials introduce you to .

Different Forms. There are many ways of writing linear equations, but they usually have constants (like "2" or "c") and must have simple variables (like "x" or "y"). Linear relationships such as y = 2 and y = x all graph out as straight lines. When graphing y = 2, you get a line going horizontally at the 2 mark on the y-axis.

When graphing y = x, you get a.

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Linear Relationships: Tables, Equations, and Graphs